SOLUTION: Find two numbers with a sum of 49 and difference of 11

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Question 468807: Find two numbers with a sum of 49 and difference of 11
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
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Let x - the first number
Let y - the second number
a sum of two numbers is 49, then x%2By=49
a difference of two numbers is 11, then x-y=11
The system of equations
system%28x%2By=49%2Cx-y=11%29
Add the secont equation to the first one
2x=60
x=30
Put x=30 in the first equation
30%2By=49
y=49-30
y=19
system%28x=30%2Cy=19%29
Check
system%2830%2B19=49%2C30-19=11%29
system%2849=49%2C11=11%29-correct
Answer: x=30,y=19